Question

Find the normal component of acceleration for r(t)=t2i+t2j+t3k .

Answer #1

find the tangential ocmponent of acceleration r(t)=acos(wt)i +
bsin(wt) j at t=0 I found normal component to be aw^2 tangential
component should be 0 I a m having trouble with this

Find the tangential and normal components of the acceleration
vector. Then find the speed of the vector.
r(t) = ti + e2tj + 2etk

Find the curvature of the path and determine the tangential and
the normal components of acceleration of the following curve at the
point t.
r(t) = 2/3 ((1+t)^3/2) i + 2/3 ((1−t)^3/2) j + t √ 2k.

Find the velocity, acceleration, and speed of a particle with
the given position function.
(a) r(t) = e^t cos(t)i+e^t
sin(t)j+ te^tk, t = 0
(b) r(t) = 〈t^5 ,sin(t)+ t ^ cos(t),cos(t)+ t^2 sin(t)〉, t =
1

For the curve given by
r(t)=〈6sin(t),−3t,−6cos(t)〉
Find the unit normal
N(t)=

1) Find the curvature of the curve r(t)= 〈2cos(5t),2sin(5t),t〉
at the point t=0
Give your answer to two decimal places
2) Find the tangential and normal components of the acceleration
vector for the curve r(t)=〈 t,5t^2,−5t^5〉 at the point t=2
a(2)=? →T + →N

Find the unit tangent vector T and the principle unit normal
vector N of ⃗r(t) = cos t⃗i + sin t⃗j + ln(cos t)⃗k at t = π .

Use the helix: r(t)= (bcost)i +(bsint)j +(ct)k , b>0
I only need e and f. I posted another question where only a-d
were answered if you want to use that work to answer e and f. thank
you
a. find the unit tangent vector
b. find the principal normal vector
c.find the curvature
d.find the binormal vector
e. Find the tangential component of acceleration.
f. find the normal component of acceleration using both
formulas, try to verify that they are...

Will’s Welded Widgets (WWW) makes its Q Model from components R,
S and T. Component R is made from two units of component X and one
unit of component Y. Component T is made from one unit of component
V and 3 units of component Z.
Using the WWW given information, calculate the replenishment
lead time for the Q Model assuming that you have no beginning
inventories.

Consider the following vector function.
r(t) = <9t,1/2(t)2,t2>
(a) Find the unit tangent and unit normal vectors
T(t) and
N(t).
(b) Use this formula to find the curvature.
κ(t) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 46 minutes ago

asked 46 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago